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General Overview of the Macbeth Approach

  • Carlos A. Bana e Costa
  • Jean-Claude Vansnick
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 5)

Abstract

MACBETH is an interactive approach for cardinal measurement of judgments about the degrees to which the elements of a finite set A possess a property P. The name MACBETH, Measuring Attractiveness by a Categorical Based Evaluation Tech nique, comes from the fact that we conceived our approach with the aim of facilitating the measurement of (degrees of) attractiveness in decision processes. Nevertheless, MACBETH can also be applied to measure other properties in domains of knowledge others than Decision Sciences, such as in Psychophysics or in Social Sciences.

Keywords

Analytical Hierarchy Process Numerical Scale Cardinal Measurement Absolute Judgment Threshold Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bana e Costa, C.A., Vansnick, J.C. (1993), “Sur la quantification des jugements de valeur: L’approche MACBETH”, Cahier du LAMSADE, 117, Université de Paris-Dauphine, Paris.Google Scholar
  2. Bana e Costa, C.A., Vansnick, J.C. (1994a), “MACBETH — An interactive path towards the construction of cardinal value functions”, International Transactions in Operations Research, 1,4 (489–500).Google Scholar
  3. Bana e Costa, C.A., Vansnick, J.C. (1994b), “A theoretical framework for Measuring Attractiveness by a Categorical Based Evaluation Technique (MACBETH)”, J. Clímaco (ed.), Proceedings of the XIth International Conference on MCDM, Coimbra, Portugal, August 1994 (to appear).Google Scholar
  4. Bana e Costa, C.A., Vansnick, J.C. (1995), “Applications of the MACBETH approach in the framework of an additive aggregation model”, Journal of Multi-Criteria Decision Analysis (to appear).Google Scholar
  5. Doignon, J.-P. (1987), “Threshold Representations of Multiple Semiorders”, SIAM Journal of Algebraic Discrete Methods, 8,1,77–84.Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Carlos A. Bana e Costa
    • 1
  • Jean-Claude Vansnick
    • 2
  1. 1.IST — Dep. Civil Eng./CESURTechnical University of LisbonLisbonPortugal
  2. 2.F.S.E.S., Place du ParcUniversity of Mons-HainautMonsBelgium

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